Question

The resistance created by waves on a 120-m-long ship is tested in a channel using a model that is 4 m long Y Part A If the ship travels at 70 km/h. what should be the speed of the model?

Answer 1

`V_m = 12.78 km/hr`

Step-by-step explanation:

given,

length of the ship = 120 m

length of model of the ship = 4 m

Speed at which the ship travels = 70 km/h

speed of model = ?

by using froude's law

`F_r = (V)/(√(L g))`

for dynamic similarities

`((V)/(√(L g)))_P = ((V)/(√(L g)))_(model)`

`((V_p)/(√(L_p))) = ((V_m)/(√(L_m)))`

`((70)/(√(120))) = ((V_m)/(√(4)))`

`V_m = 12.78 km/hr`

hence, the velocity of model will be 12.78 km/h